Find the Maclaurin Series for the Function $$f ( x ) = \sin 7 x$$

question 152

Multiple Choice

Find the Maclaurin series for the function $$f ( x ) = \sin 7 x$$

• A) \[\sin 7 x = \sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( 7 x ) ^ { 2 n + 1 } } { ( 2 n + 1 ) ! }\]
• B)
• \[\sin 7 x = \sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( 7 x ) ^ { 2 n } } { ( 2 n ) ! }\]
• C)
• \[\sin 7 x = \sum _ { n = 0 } ^ { \infty } \frac { ( 7 x ) ^ { 2 n } } { ( 2 n ) ! }\]
• D)
• \[\sin 7 x = \sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( 7 x ) ^ { 2 n + 1 } } { ( n + 1 ) ! }\]
• E)
• \[\sin 7 x = \sum _ { n = 0 } ^ { \infty } \frac { ( 7 x ) ^ { 2 n + 1 } } { ( 2 n + 1 ) ! }\]

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